6792 has 16 divisors (see below), whose sum is σ = 17040. Its totient is φ = 2256.

The previous prime is 6791. The next prime is 6793. The reversal of 6792 is 2976.

6792 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (6791) and next prime (6793).

It is a super-2 number, since 2×6792² = 92262528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 283 = 6792 / (6 + 7 + 9 + 2).

It is a d-powerful number, because it can be written as 6³ + 9⁴ + 7 + 2³ .

It is not an unprimeable number, because it can be changed into a prime (6791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1065).

2⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

6792 is an abundant number, since it is smaller than the sum of its proper divisors (10248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520).

6792 is a wasteful number, since it uses less digits than its factorization.

6792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 6792 is about 82.4135911121. The cubic root of 6792 is about 18.9379322735.

The spelling of 6792 in words is "six thousand, seven hundred ninety-two".